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Finding the Fourth Proportional to 23,339, 35,014.26 and 6,923

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Solution

The fourth proportional to 23,339, 35,014.26 and 6,923 is: 10,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,339 : 35,014.26 = 6,923 : x
  2. Step 2: Convert to fraction form
    23,339/35,014.26 = 6,923/x
  3. Step 3: Cross multiply
    23,339x = 35,014.26 × 6,923
  4. Step 4: Simplify right side
    23,339x = 242,403,721.98
  5. Step 5: Solve for x
    x = 242,403,721.98/23,339
  6. Step 6: Final answer
    x = 10,386.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.